jee-main 2021 Q78

jee-main · India · session3_20jul_shift2 Vectors: Lines & Planes Coplanarity and Relative Position of Planes
The lines $x = ay - 1 = z - 2$ and $x = 3y - 2 = bz - 2 , ( ab \neq 0 )$ are coplanar, if:
(1) $b = 1 , a \in R - \{ 0 \}$
(2) $a = 1 , b \in R - \{ 0 \}$
(3) $a = 2 , b = 2$
(4) $a = 2 , b = 3$
The lines $x = ay - 1 = z - 2$ and $x = 3y - 2 = bz - 2 , ( ab \neq 0 )$ are coplanar, if:\\
(1) $b = 1 , a \in R - \{ 0 \}$\\
(2) $a = 1 , b \in R - \{ 0 \}$\\
(3) $a = 2 , b = 2$\\
(4) $a = 2 , b = 3$